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13382976 = 263431621
BaseRepresentation
bin110011000011…
…010101000000
3221011220222210
4303003111000
511411223401
61154502120
7221516265
oct63032500
927156883
1013382976
117610912
124594940
132a07629
141ac526c
1512954d6
hexcc3540

13382976 has 56 divisors (see below), whose sum is σ = 36254944. Its totient is φ = 4354560.

The previous prime is 13382969. The next prime is 13382983. The reversal of 13382976 is 67928331.

It is an interprime number because it is at equal distance from previous prime (13382969) and next prime (13382983).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7446 + ... + 9066.

Almost surely, 213382976 is an apocalyptic number.

13382976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127472).

13382976 is an abundant number, since it is smaller than the sum of its proper divisors (22871968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13382976 is a wasteful number, since it uses less digits than its factorization.

13382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1669 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 13382976 is about 3658.2750033315. The cubic root of 13382976 is about 237.4201452679.

The spelling of 13382976 in words is "thirteen million, three hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 1621 2064 2752 3242 4128 4863 6484 8256 9726 12968 19452 25936 38904 51872 69703 77808 103744 139406 155616 209109 278812 311232 418218 557624 836436 1115248 1672872 2230496 3345744 4460992 6691488 13382976